A GENERALIZATION ON THE NTH COMMUTATIVITY DEGREE OF ALTERNATING GROUPS OF DEGREE 4 AND 5
DOI:
https://doi.org/10.11113/jt.v78.7813Keywords:
Abelianness, commutativity degree, alternating groupAbstract
The theory of commutativity degree is important in determining the abelianness of a group. The commutativity degree of a finite group G is the probability that a pair of elements chosen randomly from a group G, commute. The concept of commutativity degree can be generalized to the nth commutativity degree of a group which is defined as the probability of commuting the nth power of a randomly chosen element with another random element from the same group. In this research, the nth commutativity degree of alternating groups of degree 4 and 5 are presented.References
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